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Finding the Fourth Proportional to 562.13, 843.19 and 269.56

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Solution

The fourth proportional to 562.13, 843.19 and 269.56 is: 404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.13 : 843.19 = 269.56 : x
  2. Step 2: Convert to fraction form
    562.13/843.19 = 269.56/x
  3. Step 3: Cross multiply
    562.13x = 843.19 × 269.56
  4. Step 4: Simplify right side
    562.13x = 227,289.85
  5. Step 5: Solve for x
    x = 227,289.85/562.13
  6. Step 6: Final answer
    x = 404.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.